{ "id": "cond-mat/0307044", "version": "v3", "published": "2003-07-02T10:56:18.000Z", "updated": "2004-06-01T10:55:19.000Z", "title": "The Mesoscopic Quantum-Hall-Insulator Transition", "authors": [ "S. Kettemann", "B. Kramer", "T. Ohtsuki" ], "comment": "4 pages, 3 figures", "journal": "JETP Letters vol. 80, issue 4, page 316-320 (2004)", "categories": [ "cond-mat.mes-hall" ], "abstract": "Sharp localization transitions of chiral edge states in disordered quantum wires, subject to strong magnetic field, are shown to be driven by crossovers from two- to one-dimensional localization of bulk states. As a result, the two-terminal conductance is found to exhibit at zero temperature discontinuous transitions between {\\it exactly} integer plateau values and zero, reminiscent of first order phase transitions. We discuss the corresponding phase diagram. The spin of the electrons is shown to result in a multitude of phases, when the spin degeneracy is lifted by the Zeeman energy. The width of conductance plateaus is found to depend sensitively on the spin flip rate $1/\\tau_s$.", "revisions": [ { "version": "v3", "updated": "2004-06-01T10:55:19.000Z" } ], "analyses": { "keywords": [ "mesoscopic quantum-hall-insulator transition", "first order phase transitions", "strong magnetic field", "chiral edge states", "zero temperature discontinuous transitions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003cond.mat..7044K" } } }